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Finding the Fourth Proportional to 6,899, 9,521.70 and 4,106.12

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Solution

The fourth proportional to 6,899, 9,521.70 and 4,106.12 is: 5,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899 : 9,521.70 = 4,106.12 : x
  2. Step 2: Convert to fraction form
    6,899/9,521.70 = 4,106.12/x
  3. Step 3: Cross multiply
    6,899x = 9,521.70 × 4,106.12
  4. Step 4: Simplify right side
    6,899x = 39,097,242.80
  5. Step 5: Solve for x
    x = 39,097,242.80/6,899
  6. Step 6: Final answer
    x = 5,667.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.